Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3106, 3109 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3106 and 3109 is 1.
GCF(3106,3109) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3106
2 | 3106 |
1553 | 1553 |
1 |
Prime factors of 3106 are 2,1553. Prime factorization of 3106 in exponential form is:
3106 = 21×15531
Prime Factorization of 3109
3109 | 3109 |
1 |
Prime factors of 3109 are 3109. Prime factorization of 3109 in exponential form is:
3109 = 31091
∴ So by taking common prime factors GCF of 3106 and 3109 is 1
Factors of 3106
List of positive integer factors of 3106 that divides 3106 without a remainder.
1,2,1553,3106
Factors of 3109
List of positive integer factors of 3109 that divides 3109 without a remainder.
1,3109
Greatest Common Factor
We found the factors and prime factorization of 3106 and 3109. The biggest common factor number is the GCF number.
So the greatest common factor 3106 and 3109 is 1.
Also check out the Least Common Multiple of 3106 and 3109
(i) The GCF of 3106 and 3109 is associative
GCF of 3106 and 3109 = GCF of 3109 and 3106
1. What is the GCF of 3106 and 3109?
Answer: GCF of 3106 and 3109 is 1.
2. What are the Factors of 3106?
Answer: Factors of 3106 are 1, 2, 1553, 3106. There are 4 integers that are factors of 3106. The greatest factor of 3106 is 3106.
3. What are the Factors of 3109?
Answer: Factors of 3109 are 1, 3109. There are 2 integers that are factors of 3109. The greatest factor of 3109 is 3109.
4. How to Find the GCF of 3106 and 3109?
Answer:
Greatest Common Factor of 3106 and 3109 = 1
Step 1: Find the prime factorization of 3106
3106 = 2 x 1553
Step 2: Find the prime factorization of 3109
3109 = 3109
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 3106 and 3109 is 1